Gunnar E. Carlsson

According to our database, Gunnar E. Carlsson authored at least 47 papers between 1985 and 2021.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of two.

2021

Robust Hierarchical Clustering for Directed Networks: An Axiomatic Approach.

Gunnar E. Carlsson, Facundo Mémoli, Santiago Segarra

SIAM J. Appl. Algebra Geom., 2021

Evaluating the Disentanglement of Deep Generative Models through Manifold Topology.

Sharon Zhou, Eric Zelikman, Fred Lu, Andrew Y. Ng, Gunnar E. Carlsson, Stefano Ermon

Proceedings of the 9th International Conference on Learning Representations, 2021

2020

Fibers of Failure: Classifying Errors in Predictive Processes.

Leo Carlsson, Mikael Vejdemo-Johansson, Gunnar E. Carlsson, Pär G. Jönsson

Algorithms, 2020

2019

Persistent and Zigzag Homology: A Matrix Factorization Viewpoint.

Gunnar E. Carlsson, Anjan Dwaraknath, Bradley J. Nelson

CoRR, 2019

A Topology Layer for Machine Learning.

Rickard Brüel Gabrielsson, Bradley J. Nelson, Anjan Dwaraknath, Primoz Skraba, Leonidas J. Guibas, Gunnar E. Carlsson

CoRR, 2019

Exposition and Interpretation of the Topology of Neural Networks.

Rickard Brüel Gabrielsson, Gunnar E. Carlsson

Proceedings of the 18th IEEE International Conference On Machine Learning And Applications, 2019

2018

Topological Approaches to Deep Learning.

Gunnar E. Carlsson, Rickard Brüel Gabrielsson

CoRR, 2018

A look at the topology of convolutional neural networks.

Rickard Brüel Gabrielsson, Gunnar E. Carlsson

CoRR, 2018

Fibres of Failure: Classifying errors in predictive processes.

Leo Carlsson, Gunnar E. Carlsson, Mikael Vejdemo-Johansson

CoRR, 2018

Hierarchical clustering of asymmetric networks.

Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra

Adv. Data Anal. Classif., 2018

2017

Admissible Hierarchical Clustering Methods and Algorithms for Asymmetric Networks.

Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra

IEEE Trans. Signal Inf. Process. over Networks, 2017

Numeric invariants from multidimensional persistence.

Jacek Skryzalin, Gunnar E. Carlsson

J. Appl. Comput. Topol., 2017

2016

On modules over infinite group rings.

Gunnar E. Carlsson, Boris Goldfarb

Int. J. Algebra Comput., 2016

Excisive Hierarchical Clustering Methods for Network Data.

Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra

CoRR, 2016

2015

Evasion paths in mobile sensor networks.

Henry Adams, Gunnar E. Carlsson

Int. J. Robotics Res., 2015

2014

A Klein-Bottle-Based Dictionary for Texture Representation.

Jose A. Perea, Gunnar E. Carlsson

Int. J. Comput. Vis., 2014

Hierarchical Quasi-Clustering Methods for Asymmetric Networks.

Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra

Proceedings of the 31th International Conference on Machine Learning, 2014

2013

Classifying Clustering Schemes.

Gunnar E. Carlsson, Facundo Mémoli

Found. Comput. Math., 2013

Building Markov state models with solvent dynamics.

Chen Gu, Huang-Wei Chang, Lutz Maibaum, Vijay S. Pande, Gunnar E. Carlsson, Leonidas J. Guibas

BMC Bioinform., 2013

Axiomatic construction of hierarchical clustering in asymmetric networks.

Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra

Proceedings of the IEEE International Conference on Acoustics, 2013

Alternative axiomatic constructions for hierarchical clustering of asymmetric networks.

Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra

Proceedings of the IEEE Global Conference on Signal and Information Processing, 2013

Hierarchical clustering methods and algorithms for asymmetric networks.

Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra

Proceedings of the 2013 Asilomar Conference on Signals, 2013

2012

A Topological Paradigm for Hippocampal Spatial Map Formation Using Persistent Homology.

Yu. Dabaghian, Facundo Mémoli, Loren M. Frank, Gunnar E. Carlsson

PLoS Comput. Biol., 2012

2011

Applications of Zigzag Persistence to Topological Data Analysis

Andrew Tausz, Gunnar E. Carlsson

CoRR, 2011

Homological Coordinatization

Andrew Tausz, Gunnar E. Carlsson

CoRR, 2011

2010

Computing Multidimensional Persistence.

Gunnar E. Carlsson, Gurjeet Singh, Afra Zomorodian

J. Comput. Geom., 2010

Characterization, Stability and Convergence of Hierarchical Clustering Methods.

Gunnar E. Carlsson, Facundo Mémoli

J. Mach. Learn. Res., 2010

Zigzag Persistence.

Gunnar E. Carlsson, Vin de Silva

Found. Comput. Math., 2010

Constructing Multi-Resolution Markov State Models (MSMs) to Elucidate RNA Hairpin Folding Mechanisms.

Xuhui Huang, Yuan Yao, Gregory R. Bowman, Jian Sun, Leonidas J. Guibas, Gunnar E. Carlsson, Vijay S. Pande

Proceedings of the Biocomputing 2010: Proceedings of the Pacific Symposium, 2010

2009

On the Nonlinear Statistics of Range Image Patches.

Henry Adams, Gunnar E. Carlsson

SIAM J. Imaging Sci., 2009

The Theory of Multidimensional Persistence.

Gunnar E. Carlsson, Afra Zomorodian

Discret. Comput. Geom., 2009

Zigzag persistent homology and real-valued functions.

Gunnar E. Carlsson, Vin de Silva, Dmitriy Morozov

Proceedings of the 25th ACM Symposium on Computational Geometry, 2009

2008

Algorithmic and statistical challenges in modern largescale data analysis are the focus of MMDS 2008.

Michael W. Mahoney, Lek-Heng Lim, Gunnar E. Carlsson

SIGKDD Explor., 2008

On the Local Behavior of Spaces of Natural Images.

Gunnar E. Carlsson, Tigran Ishkhanov, Vin de Silva, Afra Zomorodian

Int. J. Comput. Vis., 2008

Algorithmic and Statistical Challenges in Modern Large-Scale Data Analysis are the Focus of MMDS 2008

Michael W. Mahoney, Lek-Heng Lim, Gunnar E. Carlsson

CoRR, 2008

Localized homology.

Afra Zomorodian, Gunnar E. Carlsson

Comput. Geom., 2008

A near optimal coder for image geometry with adaptive partitioning.

Arian Maleki, Morteza Shahram, Gunnar E. Carlsson

Proceedings of the International Conference on Image Processing, 2008

ε-entropy of piecewise polynomial functions and tree partitioning compression.

Arian Maleki, Gunnar E. Carlsson

Proceedings of the IEEE International Conference on Acoustics, 2008

2007

Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition.

Gurjeet Singh, Facundo Mémoli, Gunnar E. Carlsson

Proceedings of the 4th Symposium on Point Based Graphics, 2007

2006

An Algebraic Topological Method for Feature Identification.

Erik Carlsson, Gunnar E. Carlsson, Vin de Silva

Int. J. Comput. Geom. Appl., 2006

2005

Persistence Barcodes for Shapes.

Gunnar E. Carlsson, Afra Zomorodian, Anne D. Collins, Leonidas J. Guibas

Int. J. Shape Model., 2005

Computing Persistent Homology.

Afra Zomorodian, Gunnar E. Carlsson

Discret. Comput. Geom., 2005

2004

A barcode shape descriptor for curve point cloud data.

Anne D. Collins, Afra Zomorodian, Gunnar E. Carlsson, Leonidas J. Guibas

Comput. Graph., 2004

A geometric framework for sparse matrix problems.

Gunnar E. Carlsson, Vin de Silva

Adv. Appl. Math., 2004

Topological estimation using witness complexes.

Vin de Silva, Gunnar E. Carlsson

Proceedings of the 1st Symposium on Point Based Graphics, 2004

1992

Small Diameter Symmetric Networks from Linear Groups.

Lowell Campbell, Gunnar E. Carlsson, Michael J. Dinneen, Vance Faber, Michael R. Fellows, Michael A. Langston, James W. Moore, Andrew P. Mullhaupt, Harlan B. Sexton

IEEE Trans. Computers, 1992

1985

Interconnection Networks Based on a Generalization of Cube-Connected Cycles.

Gunnar E. Carlsson, J. E. Cruthirds, Harlan B. Sexton, C. G. Wright

IEEE Trans. Computers, 1985